On the Chinese Checkers spherical inversions in three dimensional Chinese Checkers space

Abstract

In this paper, we study an inversion with respect to a Chinese checkers sphere in the three dimensional Chinese Checkers space, and prove several properties of this inversion. We also study cross ratio, harmonic conjugates and the inverse images of lines, planes and Chinese Checkers spheres in three dimensional Chinese Checkers space.

Keywords

• Chinese Checkers space
• Chinese Checkers sphere
• inversion
• harmonic conjugates

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